TY - JOUR T1 - Uniqueness of Solution of the Initial Value Problem for ut=ΔUm-up JO - Journal of Partial Differential Equations VL - 3 SP - 89 EP - 96 PY - 1991 DA - 1991/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5778.html KW - Uniqueness of solution KW - initial value problem AB - The uniqueness of solution of the Cauchy problem u_t = Δu^m - u^p, \qquad S_T = R^n × (0, T) u(x, 0) = Φ(x), \qquad × ∈ R^n is obtained. Where n ≥ 1, m, p > 0, Φ(x) ∈ L^∞(R^n), Φ(x) ≥ 0.